Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800ci |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
-2.58555281408E+21 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -3 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35027500,-79829950000] |
[a1,a2,a3,a4,a6] |
Generators |
[13418844756546228824767578860208:787070757016920070979128492689284:1561105329547332378223827477] |
Generators of the group modulo torsion |
j |
-1856569331248425/1009981568 |
j-invariant |
L |
11.782267670493 |
L(r)(E,1)/r! |
Ω |
0.031027951432197 |
Real period |
R |
47.466345370239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800ba1 21200n1 84800cp1 |
Quadratic twists by: -4 8 5 |